Our locking qubit thread configuration model is actually very similar to the holographic tensor network models. For a preliminary discussion on the connection between bit threads and holographic tensor networks, see [1]}. We first note that the two kinds of models describe the state of the holographic RT surface corresponding to a boundary subregion in a consistent manner. In the holographic tensor network models, the holographic RT surface corresponding to a (connected) boundary subsystem \(R\)  is defined as a minimal cut to the network such that the two halves of the network are totally adjacent to \(R\)  and \(\bar{R}\) , respectively [2]}, [3]}. Thus, the direct product of the states represented by the cut-off legs defines the state describing this RT surface. While in our model, we have transformed the language of geometric surfaces into the language of threads. Therefore, we can also describe the state of the holographic RT surface corresponding to a connected boundary subsystem \(R\)  (which is generally a composite region composed of a set of adjacent elementary regions) in a similar way, i.e., as a cut to the thread configuration such that the thread configuration is divided into two halves, each of which is entirely adjacent to \(R\)  and \(\bar{R}\)  respectively. Therefore, the direct product of the reduced states represented by the cut-off threads defines the state describing the holographic RT surface \({\gamma _R}\) .
